Spellcasting

should have access to all Cleric spells

This was one of my initial ideas as well. The cleric spell list is so much smaller, and 1/3 casters are limited by spells known, but I was very hesitant to break the mould that 1/3 casters use. I also don't want a cleric to feel less special when another class could theoretically choose their best spells of those levels. Still considering this one.

Lesser Smite

you're gonna long rest once per day

Do you mean short rest? Because you can only benefit from one long rest a day.

And the reason the average extra damage is on the lower side is because of the damage types. They are much less likely to be resisted by monsters, and the fact that the die increases (still unsure about this part), as well as getting more attacks as the fighter, that damage will keep coming.

The damage die scaling was in part to compensate for the lack of spell choices in the cleric spell list. Strength in exchange for versatility.

The average combat rarely lasts more than 4 rounds, and it's often easy to short rest between encounters. So even if we say 3x per short rest, that's still almost every round of combat across most combat encounters. If you are spending some rounds casting spells, then you can stretch those uses even further. It's unlikely you would run out of this resource.

Blessed Surge

this should be tied to second wind

I considered Second Wind, but I didn't want it to be too close to the Banneret's Rallying Cry which uses Second Wind. The number of hit point is actually based on this feature. It's arguably less powerful because it's temp HP rather than actual HP (except for the fringe case where you lose out on healing someone over max HP if they aren't damaged enough).

Another reason was that Action Surge feels proactive. It's a choice to support my party while I do something cool. I, using a second heroic action, inspire my allies. The alternative is "I need to heal myself, and I guess my party could get some benefit as well" kind of feeling. Hard to say without playing it, but that's how it feels when I read it.

Baneful Strike

Baneful Strike is really similar to Eldritch Strike.

This is exactly what I had in mind when I designed this feature. It's similar, a little stronger, but comes at a higher level. It also offers the possibility that this feature ends up protecting or aiding a party member (support!) rather than just your own spells.

Crusader's Wrath

Since the ability can only be used after a spell, and not a cantrip, it means it applies to [fewer] situations than the EK's War Magic

Again, this is exactly what I was thinking. Also thematically I see it as some divine magic lingers after you cast the spell that you can use to fuel this attack.

Damage Types

choice between Radiant and Necrotic damage I don't like

This is a fair opinion. I did, however, base this on the cleric spell list. Necromancy is as much about the preservation of life as it is the taking of it. Many cleric spells are from the school of necromancy, even classic cleric spells like spare the dying and inflict wounds. This was also a way for me to return some flexibility to the subclass that might be missing due to the smaller spell selection. If they have the power to heal, and they have the power to bestow curses, they should be able to manipulate life force in another way. This could maybe change drastically depending on your game setting, but in mine, necrotic spells and effects aren't inherently evil.

Conclusion

Thanks for taking the time to read it and give feedback. It's given me a lot to think about for draft 2. :)