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Just started working out and trying to build muscle. So far I'm starting off slow doing this every other day. Right now I have a dumbbell set and thats it. Basically I'm wondering if this is a good workout for building muscle, I'm also taking whey protein after the workout. Excuse my terminology or spelling

3 x 10 pushups
2 x 10 concentration curls
2 x 10 Hammer Hurls
2 x 7 Reverse pushup
2 x 10 Shoulder Shrugs
2 x 10 Tricep Kickbacks
2 x 10 Overhead Tricep extensions

2 Mile run.

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It looks like your only interested in your arms or getting some beach muscles. Despite only having a dumbell set you can do some decent exercises. I would do a total body workout as you'll have difficulty isolating a bodypart with your limitations. Try something like this, reps and sets of course can be changed but since you'll only have access to lighter wieghts I would do in the area of 12 reps over 3+ sets.

dumbell squat
dumbell lunge
pushups -(if these are light try putting some weight in a backpack)
one arm dumbell row
overhead press
calf raises
standing curls
skull crushers