The calculation of tension is treating the wall panel as horizontal beam supported by the steel beams, and find the reaction. For example, for 1' strip from the bottom:
p13.25 = 0.7473+0.1175 = 0.8648
p12.25 = 0.6909+0.1175 = 0.8084
Wi = (0.8648+0.8084)/2 = 0.8066 ((note, intensity of Wi reduces from bottom up)
t = 0.8066*12 = 9.68 kips
With the obtained f & t, go to AISC J3.7 to determine the anchor strength for combined tension and shear in bearing type connection.
For your latter question, yes, the panel weight needs to be considered. I suggest to have continuous footing under the panel to transfer the weight directly into ground, to reduce the chance that over load the steel beams. Otherwise, you have to add the weight to the shear flow for connector design.
Yes, without design as a composite, your wall panel wouldn't be stand still. A floor slab can be designed either as composite, or non-composite; however, flip the slab-beam upside down in hanging ceiling-like manner, then the only choice will be composite. When in doubt, just ask "is the connection between the panel and the beam is necessary for the system to function properly?" Hope this helps.