what do i do / how do i move on from this?

after my ex and i broke up i was introduced to this new guy. we hit it off and started talking and went on cute date. we kissed and cuddled but thats about it. however, i just came out of a three year relationship and i am not looking for another one anytime soon and because of that, the new guy isnt so happy with it. i told him before i might be interested in being a relationship with him but i recently told him i dont think i ever want one. the amount of hours we talk to each other bothers him because he feels it isnt right since we are just "friends" and nothing more. he gave me three ultimatums and i am a little bothered by them. i really like this guy and i dont know what to do.

his ultimatums were 1. talk very less continue friends with benefits 2. stop talking completely 3. go into a relationship

i really want to keep talking the way we did (text everyday/skype) but he doesnt because he feels it isnt right to continue talking all the time since there is no possibility in a relationship. i am really stuck and do not know what to do :(