Waiting for email response

I would resend email with dates, saying "Hi, I am wondering if you have a date in mind yet as I don't want to arrange something else on the date convenient for you, but lots of commitments need to go in my diary. Looking forward to a meet up" .... or something like that. However if you don't really want to see him ignore it after checking the email a truly went, and book things on the dates as necessary

I would make sure my mail had definitely been sent and then wait. If nothing, sobeit. Sounds like an unusual relationship to me.

Do you know why he wants to meet up? You say you don’t like him but you gave him 20 dates, do you mean 2? Just wait, if he doesn’t respond then he doesn’t respond?

Hello cossybabe are you saying that there has been no contact with your Bil for 2 years, not phone calls, texts, emails? If so it seems strange that he should email after all this time to suggest a meet up for lunch. You say dates that we can make so I am assuming this is yourself and your partner, if so what does your partner think especially if it is his Brother. Perhaps best to discuss it together and do what you both feel is right.

If your brother in law hadn’t been in touch for 2 years, and you haven’t wondered why? Then what do you need to do now? You have told him when you can meet up but if he doesn’t reply then no skin off your nose so what do you think you need to do? Ignore or email him again to ask if he wants to meet up? That is IF you do want to? For whatever reason? If you don’t like him I don’t know why you even want to meet up anyway after so long? Maybe more to it than you are saying?

Are you sure your email went through. Sometimes they don't. Have a look in your sent box or as MerylStreep said, have a look in you spam/junk box.
If not email him again.

Have you looked in your junk
It could have gone in there.