I feel so resentful toward my husband...?

I am asking for advice from anyone... we have been married going on two years - second for both of us. My problem is that about every other week my husband gets into this mode where all aspects of his life just suck and he has so many issues to deal with and he just doesnt know how he is going to get through it all...Work, two teenage kids, an exwife, the weather etc. He often vents about these issues with me and will also send me long emails listing out everything in his life that is causing him stress. Me, being the nurutring type, will listen attentively, soothe, encourage, offer my perspective and even offer suggestions at times. I spend a lot of emotional energy on this. So much it seems that it backfires on me. After he dumps and I seem to "absorb" all his problems, hes done. And I get resentful and angry. Why is that? I want to be supportive but also dont want to take on his problems. He hasn't sought counseling even though I gently suggest it. Maybe I need counseling.