Parenting issues

i have reasons to believe that you are experiencing what i could call the firstborn curse. Most parents dont know certain things about the firstborn which would relieve them of so much trouble.
Firstly your 10year old feels dethroned and neglected. He believes his little brother is now mommys favourite and therefore hes no longer that important anymore. They might have a small age gap between them but its enough to trigger such feelings which lead to jealousy and insecurity. He views his little brother as the source of the problem which he should get 'rid of'(fighting, hitting etc.). What you should realize is that this constant and continuous and irational fighting between them is an indication of a deeper underlying issue and mere discipline wont solve it but only postpone it.
So what to do now.? Give them assurance of your love for them, individualy and separately. Let them know individualy that you love them without any limits or favouritism.
Also recognize their individual abilities, skills and contribution in the presence of others when they did something deserving. Not only wil this give them confidence, itl also show them that they both matter to you as brothers and individualy.
Lastly play games with them where they have to work together and cooperate to win. Let them know while they are playing what a great team they are and how much they are winning when they play together.
Be patient and dont beat yourself up for yeling, screaming or making mistakes. Any1 who has children especialy two adorable but craze boys understands its only human to loose your temper once in a while. That doesnt make you a bad parent.
Remember the only parent whos a bad parent is a non parent!