You have received a lot of harmful advice. I'm serious.
Babies are designed to be next to their mothers. Some babies need it more than others. They learn how to be comforted, love, they built trust that you will respond to them.
When parenting, put yourself in your son's shoes. You can't move well. You can't clean your own bottom. You can't find food when you're hungry--you're completely dependent on your mother. If she walks out of the room, you have no idea if the very source of life will come back. Completely dependent. Now, what if that person who is supposed to be caring for you just leaves you and won't pick you up or come when you cry -- you're not going to trust, love, feel safe. Just anxious because you don't know if you're going to be cared for.
I'm sure what's really going on is that you feel tired and overwhelmed, which is very natural. You do need breaks. Sometimes going for a drive, a walk with the stroller (now that it's getting warmer) and visiting a friend can help.
Some babies are high needs and Dr. Sears has some great tips on how to parent these children. Attachment parenting in general is a good thing to google.
Basically, now you are investing time and a lot of energy in helping your son be happy, feel safe, well attached to you and healthy. Believe me, investing this time will pay off with an independent and confident child. By holding him now and giving him the attention he wants now, you are giving him wings for the future.
Babywearing -- wearing him in a sling -- will help you get things done during the day. I belong to a babywearing group that is going to meet in two weeks in Mundelein. Send me a private message if you'd like to come.
Also, I belong to an Attachment Parenting group that has play dates, meetings and fun things to do. I know several moms who had babies who were similar to yours.
http://www.attachmentparenting.org/groups/webil.php