Yeah, I mostly just mentioned Hold Person because the OP thought EKs don't get it, when they can. The save issue is something you can benefit from the level 10 lowering of saves from, though. But given how hard fighters hit, well, on that second round, you'll probably be better off just finishing killing the target

As far as haste goes, yeah, there are other means, but this is a way to do it. Though, if you're doing mostly for haste, you'll want to go sorc instead of wizzy, most likely, so you can Twin Cast it. Edit: of course, not ideal for an eldritch Knight, as yet another stat, and you need 5 levels of sorc to get access to level 3 sorc spells. The unique Wizard spell learning mechanic, and how it is gated by caster level, rather than your wizard level, is a big part of why Eldritch Knight and Arcane Trickster are more limited in their spell casting slots.