itch.io

Yes.

Thank you very much! You're right. Unfortunately without a game engine it would have been really difficult for us to create a pause menu

Yes

for my first game it took about 10 days, I even asked the itch support email to index it. Same thing for my second (8 days). Unfortunately the times are long, especially if it's your first game, because they have to check it. However some people have indexed it before, so you might get lucky