[sjf911]

I would need 4 knots and 4 hitches with variations

Knots:
Square knot/overhand knot and variations like surgeon's knot, EDK (European death knot), water knot
Figure 8/9 and variations (figure 8 on a bight)
Alpine butterfly
Double fisherman's knot

Hitches:
Clove
Prussik
Klemheist (I use a common variant called the autoblock)
Munter/Munter Mule