Ignoring the screaming ( a tantrum?) is the bast way to handle it... but it has to be fully ignoring him. What I mean is... when he starts screaming, STOP what you are doing, don't say anything other that a firm "shhh" or "no screaming" and then look away from him and take a deep breath. He wants your attention, and he needs to learn to do something else to get it.. try to give him other appropriate options- like "using his words" or say "show me- and encourage him to point" when he wants things.
If you yell or raise your voice in response, he will think that yelling/screaming is OK when you are frustrated. All parents do it sometimes- I know I have... but it is better to take a deep breath and speak clearly and firmly.
Try* not to take out your other stresses on the baby... it is hard to have patience sometimes when our kids are screaming and we are worried about "adult sized" issues of our own... but your stress can be sensed by the baby. Make sure to try to give yourself time to wind down... take a long bath, or watch a funny movie with him.
Eventually if you only give your attention to "appropriate" behavior... that is what he'll do. He may still have "meltdowns" occasionally, especially if he is tired, sick or ovewhelmed... but they WILL get less over time. My two year old doesn't hardly ever throw tantrums anymore... and I think it is because they have never "worked" on us... and I think cutting them off early on has saved us a LOT of hard work now that she is a full-blown toddler!
As far as the biting... he might be doing it because he doesn't realize what he is doing! I am going to go on a limb and say something controversial. My daughter only bit a few times... She was fascinated by the reaction she got (a scream or yelp!) Ignoring that just wasn't going to happen, because it just made her bite harder. finally one day out of desperation. I took her arm and bit her back! Not "hard" but enough to pinch and make her say "ouch!" I then said... "see, bites HURT! Mommy doesn't like biting!" (it left no marks or bruises- and only took once)
I honestly don't think before that she really understood what she was doing. It took one bite for her to realize that it wasn't "nice". She stopped biting after that. Could it be that your son doesn't understand what a bite feels like?
The other question was about eating. At this age he is probably just fine nutritionally... but I would try to get him to try new foods. We have the "one bite rule"- basically... my daughter HAS TO try one bite of any new food, and chew and swallow it. If she hates it after that she can have something else. 99% of the time after that one bite, she'll eat whatever it is... once she realizes it is not so bad. Sometimes I have had to do some "ninja moves" with the spoon to get that one bite in, and I can say that sometimes it is a little bit of a battle... but it has made the diffence between having a baby who won't try anything, to a toddler who actually likes almost anything she is fed- AND a toddler who has a pretty colorful diet!
Good Luck mom, and congrats! I am sure you'll look back in a few months and say.... oh, what was I all worried about!? (and then you'll go into labor- eek!) hahahaha!
-M.