Where did the phosphates in glycolysis come from? The handout makes no mention of additional ATP molecules being used?
The 2 phosphates that are added in the phosphorylation of Gal-3-P to 1,3 diPGA came from inorganic phosphate (a.k.a. Pi, or H3PO4, PO4---). This phosphate is present as an inorganic component of minimal medium (potassium phosphate), an inorganic salt that is necessary for life (in part for this reason).

I am having a problem trying to understand what happens to the electrons in reaction 6 on the "glycolytic pathway" handout.
Two hydrogen atoms have been withdrawn from the two reactants. The hydrogens leave as hydrogen atoms, not hydrogen ions; thus they leave with their electrons. So 1,3-diPGA has 2 less electrons that do the two reactants, G3P and PO4. These electrons are accepted by NAD. One of the electrons is divorced from its proton in the process. That proton (hydrogen ion) joins the pool of H+ ions in the pH7 milieu of the cell.

In glycolysis, rxn 6 adds a phosphate group without using energy from ATP. Does this energy come from reducing NAD to NADH2?
No, reducing NAD to NADH2 ABSORBS a tremendous amount aof energy (remember how much you get out (-53 kc/m) when the reverse process occurs in oxidative phosphorylation). The energy is coming from the oxidation of G3P to 1,3-diPGA (BPG).