As a mother of 3, it sounds like his daytime crying is mostly frustration and developmentally normal.
About the nightime...not one of my 3 kids slept through the night until they were 22 mos. or older. And even after that they still woke sometimes, even a few times at night here or there until they were around 4 years old. My solution was the family bed. If they woke crying I would pat them back to sleep or nurse them if they were still nursing. A lot better than getting up to go to a child's room 1/2 awake. It used to make me insane too...and exhausted. But anyone who tells you that's not normal has probably put their little ones through "crying it out" or some form of sleep training. I don't personally agree with that, I'd rather just ride out this rough time. My 12, 8 and 4 year old sleep great and are very secure and loved because I sacrificed for them when they were younger and more demanding.
You will survive and this difficult time will be a distant memory. My advice is to find a mom's group/playgroup/playdates with other moms who share your viewpoint. This is a time when you need support. Nobody tells you this when they are younger but the under 2 age is hard as all. It is probably the hardest time of your life. But the older they get the easier it gets.
Great books on tantrums and sleeping through the night are by William Sears, the baby book etc. He is a Christian Pediatrician whose wife is a lactation specialist and they have over 7 kids. Hang in there...you can do it.
Blessings,
Deb