Can someone please explain compound, simple, and run-on sentences in a lengthy paragraph if you can? If so, I thank you dearly for I am reviewing last year's subject, and I'm struggling with it slightly. 
 Jan went on a quiz show, won two hundred dollars, and bought gifts for her family.
 My guess for this one would be a compound sentences, but it would also sound correct if I pt the sentence like this--
 Jan went on a quiz show. She then won two hundred dollars, and bought gifts for her family.
 Therefore, it could be a run-on sentence. (?)
 The museum was crowded, but our group was able to see everything.
 My guess is a run-on sentence for this one, but then again in second grade I had learned to never use the word "but" as the starting point in a sentence. So that's where I'm deeply confused. 
 My puppy is well-trained; he can sit and speak.
 I'm fond of semicolons, but they can confuse me at times. This is one of those times. Anyway, my guess is a simple sentence, but simple sentences usually don't have any punctuation besides the period at the end. 
 Therefore, am I correct on any of these?