Can Anyone Give Me Advice On Potty Training A 13 Week Old Min Pin Puppy?

Puppies have the bladder control to hold their urine 1 plus their age in months.  So your little fella has the bladder control to last 4-5 hours. 
Crate training will definitely help with potty training.  The crate needs to be big enough for him to stand, turn, and lay down.  It should not be too big where they can have a spot to use as the bathroom and the other end to sleep.  When you return take your puppy to where you would like him to urinate, wait until he does then praise, and give treats.
Positive reinforcement is key.  Never leave a puppy alone when you are home.  They need constant supervision to prevent and correct accidents.  If you catch him having an accident rush him to the correct place then praise.
There is another 24 hour method.  Place your puppy in a crate, then every hour take him outside or to potty pad to urinate or defecate.  If successful play with him for 10 minutes, if unsuccessful after 5 minutes  place him back in the crate.  Repeat this procedure every hour for 1 day.
Puppies can get very distracted outside.  Do not play with your puppy until he has urinated or defecated.  At any success give a treat and praise a lot.

He hasn't got the message that outside is where he is praised for going. Really ham it up with the praise. As soon as you catch him going in the house or off his pad pick him up and put him outside. If you catch him in the act you can scold him in a stern voice. Dogs respond to tone of voice and one word commands best. Like "NO!". If he goes to the bathroom in the house he needs to go back in his kennel with no attention given. If he goes outside he should be given lots of praise and lots of attention. He is still little so his bladder will need to be relieved at least at a minimum of every three hours if not before. Consistency is the key. Is someone home with the dog during the day? The house training goes much faster if someone is there all day. Some people actually take vacation when they get their puppies to get them on the right track. Hope this has been of help to you. I've bred Shih-tzus for 20 plus years and have given this same advice. The ones who have the best success are the ones who take the extra time with their puppies. Peace