I agree with Lizbud, sounds like your first dog is a bit jealous of the new comer. There are many possible causes and solutions for this. Did you change his routine when you got the new dog? Is he not getting as much or the same type of attention he got before? Does he get "alone time" with you? How do you react to confrontations between the two dogs?
As for the food on the counter and the garbage can, well, I've always been of the mindset that some things are simply "irresistable" to dogs. Of course, dogs can be trained, usually, to leave things alone. But if you are already having behavior problems that need addressed, sometimes it is just simpler to remove the temptation of food and garbage. Just like with small children, sometimes you need to "childproof" or "dogproof" your house. Put the food in a cupboard, and put the garbage in a cabinet with a simple hook and eye latch on it.
"We give dogs the time we can spare, the space we can spare and the love we can spare. And in return, dogs give us their all. It's the best deal man has ever made" - M. Facklam
"We are raised to honor all the wrong explorers and discoverers - thieves planting flags, murderers carrying crosses. Let us at last praise the colonizers of dreams."- P.S. Beagle
"All that is gold does not glitter, Not all those who wander are lost; The old that is strong does not wither, Deep roots are not reached by the frost. From the ashes a fire shall be woken, A light from the shadows shall spring; Renewed shall be blade that was broken, The crownless again shall be king." - J.R.R. Tolkien