Definitely rest for awhile. Do eccentric exercises to strengthen the forearm (reverse wrist curls tend to work best) and supplement with a natural anti-inflammatory like fish oil and a proper joint supplement. Elbow Revive is my go-to supplement any time I feel the slightest ache of elbow tendonitis coming back-- works great. Of course if the problem persists, which it often does, see your doc and maybe get an MRI. Hope this helps.
"Always be yourself. Express yourself. Have faith in yourself. Do not go out and look for a successful personality and duplicate it." -Bruce Lee