You should probably stop doing bull**** exercises like seated tricep extensions and skull crushers anyway. Single joint movements can be extremely hard on the joints and connective tissue. You definitely shouldn't be doing them when recovering from an injury.
You just need to rest it more. Are you icing it frequently? If not you should be.
If you severely bruised/strained the tissue in and around the elbow 4 weeks is not really that much recovery time, especially if you're still putting tons of stress on it via isolation exercises.