Cheated on and lied too

My husband of 13 years has been calling Escorts and prostitutes and going on Craigslist personals as well as Ashley Madison and more. I found out through his emails and have had the gut feelings throughout our marriage. He has had a girlfriend when we started dating that was his best friend that he would drop everything for and they tried to date but it did not work.....I trusted him as he was always telling me what was happening. as of 2013 to 2017 he decided to contact escorts and more. He says that he was just curious and wanted to see but has never acted on any of the calls and would cancel what he would set up right after. I have looked through the bank accounts and phone bills and the evidence is there. He has admitted to getting a blow job at a strip club by a stripper and paying for it and no condom was used. He has also been caught in our living room making out and getting a lap dance form a good friend. He says he was un- happy and has always had issues with sex as his sex drive is super high and he will get mad if you turn him down and takes it personally. we have two daughters 17 and 11, and I of course want to try as he is wanting to go to counseling and gain my trust back, but I am having the hardest time as my guts are telling me he is not owning up to everything. I believe he wont tell me as he knows how he has hurt so many in this and knows it would make him look even worse and maybe risk the chance of loosing me forever, but not knowing may kill me.....If anyone can give me guidance Thank you for listening and reading!
Cheers
Kali