Why don't you just do The Program 2 days a week insted of 3 ? Why complicate simple things ?
Starting Strength Training Programs
Why are you so underweigth ? This other sport you do demands from you to be so light ?
Between sets you should sit on you ass for 10 minutes and rest. Dips, pullups etc. is not rest.
Have you read the book ? It is a good place to start - read the book.