I slung a rock from my mower and shattered the window in my suburban — is this covered under any type of insurance and is it worth it to even claim

The glass breakage from the rock on your car would be covered by comprehensive insurance under your automobile policy, so you could make a claim for the damage.  You probably have a deductible on the policy, but some companies have a lower deductible, or no deductible at all for glass breakage so check with your insurance agent.  This type of claim would not affect your rates so you can safely submit the claim without fear of a rate increase.  Obviously, if you have too high of a deductible, and there is no separate deductible for glass, there would be no insurance for this.

If you do not have comprehensive coverage on your policy, then you have no other insurance recourse.  Your homeowner policy will cover you if you break someone else’s window, but not your own.