Puppies can learn a lot at this age. They just don't have complete bladder control yet. They can learn to come when called, walk on a leash, and to sit on command. One of the best things you could do would be to enroll him in a puppy class. Also, take him as many places as you can and introduce him to many people. Socialization is critical from this age up to 16 weeks. A trainer coming in can offer you tips, but I do think there would be more to gain from enrolling in a puppy class. There are advantages and disadvantages to both private lessons and group classes. I have taught both, and I have attended both as a student. The group lessons often result in slower progress because all the people and dogs serve as a distraction and the instructor's time is divided. However, once the puppy learns to ignore distractions this can lead to steadier obedience. Most puppy classes allow time for socializing, too, and that is another advantage. With private lessons, the instructor is only dealing with you and your puppy, and can individualize the instruction for you.
If it's possible, I recommend that you do both. I'd begin with a couple of private lessons to get you off to a good start. Then go through a class. After completing a class, you may want another private lesson or two to work on any problem areas.
Regardless of what you choose to do, make sure the trainer or class instructor uses only positive methods. Using old-fashioned alpha/dominance training methods can do immeasurable damage. Dog training is in a state of transition right now, with some trainers insisting on the old ways, while others move on to the new ones. Positive training is supported by good research, while the older methods, especially the alpha theory are not. That doesn't mean you can't use a firm command, such as "Leave it" or "No." Sometimes those things are necessary. The alpha rolls, picking dogs up by the skin on their cheeks, and manhandling them are the things that have been discredited. Dominant wolves never force a submissive wolf into a position on the ground. The submissive wolf rolls over voluntarily to show it is submissive. The alpha roll doesn't exist in the wolf's social world, and it mostly confuses dogs when a human does it to them. Here is an interesting thorough article on the subject:http://www.whole-dog-journal.com/issues/14_12/features/Alpha-Dogs_20416-1.html
To find a positive trainer, I recommend finding a member of the Association of Pet Dog Trainers. Here's a link to their website:
If you need anything else, don't hesitate to ask.