No, your periodic table is not correct. Your s-block should have 3 elements per period, for one thing. Do you understand what I mean by that?
So, say for 3l = f has 7 orbitals... in their universe it would be 4 orbitals in theirs? because of l+1. You just basically add one to the before orbital.
Correct.
Would the number of having a full orbital (eight) be the same as ours?
Nope. First of all, in our universe a full orbital has two electrons. I think you mean a full energy level in our universe has eight electrons, as long as it's not the first one (which holds two) and d and f orbitals aren't taken into consideration for the higher ones.
The reason there are eight electrons is that there are four orbitals in the energy level - one s and three p - and each holds two electrons. In this alternate universe, there are different numbers of s and p orbitals, and each orbital holds a different number of electrons. That should be enough information for you to figure out how to put together the alternate universe periodic table.
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