No, giving someone deadlines to have sex with them is not 'life and relationships'. A relationship is a partnership, where if one person has a problem then the other works with them, not against them, to sort it out. If you're not ready to have sex, you're not, and you're going to end up resenting your boyfriend for 'forcing' you into making a decision you don't want to make yet. I can't help thinking that maybe these deadlines are making it worse for you ... you're scared, he's pressuring you, you get more scared and then he puts even more pressure on you. He needs to understand that this is a problem for you, and that he should back off until you're ready to make a decision without pressure. Threatening to dump someone because they won't sleep with you is childish in the extreme.
I don't mean to rant but I read your post and I felt so sorry for you. Your boyfriend is behaving like a pig and you need to stick up for yourself. If you don't want to have sex yet, don't. By all means keep going to the counsellor to talk about whatever is making you so distressed, but please, please don't let yourself be pressured into having sex. If your boyfriend really loves you, he should be prepared to wait until you're both ready, not force you to have sex just because he wants it. Sex IS important in a real relationship, but just because it's a way of showing how much you love someone, not a way of forcing them to do what you want.
Take your time, do what's right for you and Good luck.