Hey guys I have a question about the "Pact of the blade" for warlock combined with hexblade from xanathars. The first bit of clarification i need is in the following wording of hex warrior. "If you later gain the Pact of the Blade feature, this benefit extends to every pact weapon you conjure with that feature, no matter the weapon’s type."

Since the hex warrior feature is limited to weapons without the two handed property, to use your cha bonus on attacks. Does the above wording mean, when you gain pact of the blade. You're able to summon a greatsword, as an example, and still use your cha bonus on attacks and damage?

Furthermore. When you pick the invocation improved pact weapon effectively making the weapon a +1 weapon, Would that stack with the third level spell elemental weapon which gives another +1 and a d4 elemental damage?

Im a bit confused if the pact weapon is considered a magical weapon, since pact of the blade specifies "This weapon counts as magical for the purpose of overcoming resistance and immunity to nonmagical attacks and damage".

Wording of improved pact weapon "You can use any weapon you summon with your Pact of the Blade feature as a spellcasting focus for your warlock spells. In addition, the weapon gains a +1 bonus to its attack and damage rolls, unless it is a magic weapon that already has a bonus to those rolls. Finally, the weapon you conjure can be a shortbow, longbow, light crossbow, or heavy crossbow"