Definitely a bed adhesion issue.
You should be able to print on the stock I3 bed (I’m assuming yours also came with black Build Tak covering the bed) without any issues. Prints adhere to Build Tak like crazy (in fact, it’s usually hard to remove), so if it is coming off too easily either your bed height is wrong for the first layer, or the bed is not level.
For problem one, use the A4 paper test to ensure you head is at the correct level when z=0.
For the second problem, also use the A4 method, but check the edges instead of the middle of the bed.
There are many guides on the net explaining how to level the bed correctly- suffice to say, don’t do what most beginners do and check the corners, use the middle of the side edges of the bed (because there are 4 adjustment points instead of 3, if you adjust a corner up or down, the opposite corner see-saws in the opposite direction, and it’s virtually impossible to get things correct that way).
For long term solution, I recommend a piece of glass covered with PEI - as I’ve said, Build Tak makes your print stick, but is often incredibly difficult to get off, whereas PEI sticks to almost all thermoplastics when the bed temp is 60-70 degress, but just pops off when cooled down.