OG and I went rounds on this before. To summarize.
Pregens for a one-shot is fine. But if you expect me to play your character for months if not years, no dice.
I'm tolerant of some race restrictions, but very leery of class restrictions. It's not an automatic deal breaker, but the tighter the restrictions, the less interested I am. (It's one thing to say "WotC stuff only" or "PHB only" or "no halflings and dragonborn", but around the time you're at "no monks, sorcerers, warlocks, paladins, druids and bards" I'm at the point your preferences have taken priority over mine).
AD&D style restrictions (ie no dwarf wizards) in an actual non-AD&D game is a deal breaker. The game has had no race/class limits for 23 years.
Random anything is an absolute deal breaker, unless it's a throw away dungeon crasher "let's see how many PCs we can toss at the Tomb of Horrors" joke one shot game. But you want a serious character off random rolls? Lol. No. I don't gamble with character generation. I've long abandoned rolling stats, gold, HP or spells, and there is No Way In Hell I'm rolling to see what race or class I am (either as a "roll a d12 to see what class you are from this table" or "roll to see if you get the ability score minimums to be the class you want".)
The more of these you stack together, the less I care. Put enough of them together and I'll have fonder memories of role -playing the Top Hat in Monopoly; at least I got to choose what token I wanted.
I played Basic and AD&D. I have good memories of it. I also have good memories about my ex and I don't want to go back to them either. Either you trust me to make a character that will work in your game or you can play them yourself.