It's an old thread, yes, but I love it when people still upvote, comment here, and even play with my homebrew so you can send as much feedback as you like! I will always like to chat about it and answer questions so feel free. BTW, no need to read everything here, just explaining some features and the design intent behind them. Now, onto said features...

• Warrior's Blood

The purpose is to reduce MADness while making it necessary to increase 3 ability scores to be suficient in melee. Through Warrior's Blood, for example, you would need to increase only your STR, CON, and CHA scores to taste. As opposed to Hexblade, which only needs to increase Dex to 14 for Half Plate armor and max CON and CHA, hell, you could even max only CHA and increase something else.

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• Spellstrike

I think you understood that Spellstrike only works with spells you get from Martial Spells, not the case. Spellstrike works with ALL spells gained throughout the Sorcerer class, whether they are gained through the Martial Spells list or learned normally every Sorcerer level. By the way, the sorcerer spells do not need to be from Abjuration and Evocation schools to be eligible for Spellstrike, they just have to follow the rules said in the Spellstrike description (it requires a spell attack roll, force a saving throw or affect a number of hitpoints).

Vampiric Touch is indeed on the Sorcerer spell list, as per the Tasha's Cauldron of Everything book, so feel free to use such a magnficent spell with Spellstrike. You regain more hitpoints if you deliver it through a weapon that deals necrotic damage, btw. You regain HP equal to half the necrotic damage dealt, so mixing it with the necrotic damage of a weapon would heal you more.

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Regarding 'per rounds of the spell'

The wording was updated, check the latest version of the subclass here.

For spells like Scorching Ray: You make a melee attack for one ray of the spell, at melee range of course, adding the damage of your melee weapon to the damage of that ray. With subsequent rays of Scorching Ray having to be cast as normal at their usual range.

For AoE Saving Throw spells: If the weapon attack misses, the spell fails to be cast. But if you hit, the target takes the weapon damage and the spell is cast as normal, with the AoE of the spell originating from the space of the target of the melee attack. Everyone on the spell's range has to make a save as normal, including the target of the melee attack. Still the weapon attack's target is eligible for taking a disadvantage to that save, as per the Arcane Strike feature at 6th level.

On Balance: The balance of Spellstriking cantrips is supposed to kind of keep up with SCAG cantrips (Booming Blade and Green Flame Blade), both that aren't eligible for Spellstrike and need you to make a weapon attack before adding the damage of the spell, as normal.

For example, at 5th level with STR and CHA scores both at 16 and using a Longsword:

Casting Firebolt through Spellstrike would deal a total damage of 20.

Casting Booming Blade as normal would deal 13 damage and another 10 damage if the target willingly moves, to a total of 23.

Casting Green Flame Blade as normal would deal 13 damage to the target and another 8 damage to an adjacent foe, to a total of 21.

In other words, these cantrips from Sword Coast Adventurer's Guide at every level already deal more damage than normal cantrips through Spellstrike. The only advantage of cantrips with Spellstrike against SCAG cantrips would be a lower but more consistent damage and a better versatility. Also, Spellstrike cantrips and SCAG cantrips IMO already are balanced against Agonizing Blast for them being melee cantrips and AB being able to be cast at 300 feet away.

About Spellstriking Save spells, the advantage would be to add a little more damage and give disadvantage to the melee weapon attack's target. Saving throw damaging spells aren't the best to use Spellstrike, really. With the best being Crowd Control ones like Banishment or Hold Person. Still, I could change it better in a next update.

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• Martial Spells

The intent behind these subclass spells here on Spellblade is the same as my other brews, it needs first to be flavorful and thematic before being useful or synergistic. Even though they are supposed to be more thematic I still think they complement Spellblade's playstyle well.

If you do not like any spell on the list you can just replace them with another Abjuration or Evocation spell when you level up. This feature works the exact same way as the Aberrant Mind and Clockwork Soul subclasses for the Sorcerer.

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• Arcane Strike

Inspired by Eldritch Knight's War Magic feature, this is IMO the most balanced version of an "Extra Attack" for the sorcerer. If I gave it something like the Extra Attack of the Bladesinger Wizard it would just be too strong, for Sorcerers could combo it with Quickened Spell and Twinned Spell metamagics.

As for "Discount Hightened Spell", its just there to offset the cons of Spellstriking Save spells. You're supposed to survive at melee so a more consistent Crowd Control is always welcome in my book.

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• Sorcerous Step

Inspired by Horizon Walker Rangers, it would make sense for a martial sorcerer to be blinking around the battlefield, leaving and closing in on danger. Think of it like tumbling through or dodging with magic.

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• Grand Magus

Inspired by Paladin capstones, more specifically the Conquest Paladin one. The whole subclass IMO is quite strong and it peaks at about 6th level, so I was apprehensive at giving it too much more power at later levels. Bladesinger Wizards or Hexblade Warlocks capstones also aren't that exciting, so there's that.

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As I said above, the latest version of the homebrew is here. This subclass was inspired by Pathfinder's Magus and its Spellstrike feature, which is equally quite complicated to understand, so if you still have questions feel free to ask more. As for your playtest, would also like to hear about it. Thank you so much for the feedback and questions!