This is definitely homemade. You can tell from the difference in color from the box and the insert, the screws attaching the insert into the box, the hardware and little blocks used inside the picture frame apparatus. I'm guessing it is an entire show in the case and that concept is used to disguise the fake of the picture frame.
I figured out a couple of pieces. The circuit board has a dual timer integrated circuit chip. The resistors and capacitors are what provide the length of the time delay. I can't get a good look at the chip under the red wire to figure out what that is. A close-up picture of that so I can read the writing would be helpful. So you press the button and then after one time delay the motor runs and then after another time delay the motor runs again.
My first thought is that the motor was used to switch the card in the frame. There doesn't appear to be any traction point (e.g. a rubber washer that grips the cards) so my guess is that the black piece was magnetic and the cards shimmed. I could see how this would work if the spindle was turned the other way -- it would kick a card from the left side into the right side. But it is the wrong way to do that. So I"m going with
@JoshL8 idea that the motor was to make vibrations. The use of the square middle piece on the spindle would do that -- sort of like driving a car with square tires. Also, there is a back to the picture frame would would not allow the motor to interact with the cards.
Is there sand in the picture frames? If so, they are sand frames. That would make sense because the vibrations would trigger the effect.
The other items are a hotrod and wand. Pretty standard.
The tube looks like a bill tube. I'm not sure about the piece in the middle - I haven't seen one like that. Is it gimmicked in any way?
The bolt looks like a ring on/off bolt. Is there a second gimmicked bolt in his magic stuff? Maybe next to a ring vanishing handkerchief.
The last piece, I'd need to see a close up to figure out.
The handle appears to be part of the box (the wood seems to match). Its location tells me that it is designed to either make sure the vibrations go to that side of the frame or that they don't go to that side of the frame. OR, it could be that your uncle wanted to keep the handle with the box and put the foam there to keep from rattling.