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Cyclopentadiene

Good results, but near the end you do not pick up on the dominant difference between 3 and 4: bending terms. More discussion, particularly of kinetic control (e.g. diagram?) needed.

Taxol

Good geometries. Did you calculate BOTH chairs for both 9 and 10? Your discussion hints at this, but I was not left certain. The chair of 9 is "flipped" for the more stable chair of 10 (ie they are not the same chair). Could have made more of the hyperstable alkenes (by doing some hydrogenation calculations of 9 and 10).

NMR

Your 17 and 18 are both boats! But you do need to calculate the chairs as well, if only to eliminate them.

These NMR Spectra are in good agreement with the literature. That is a very vague statement. You need statistical evidence of this. In fact, other than the figure for the calc 1H spectra, you report no comparisons with the literature at all. Lots more needed here.

X-ray

2 Bonds in particular were found to be longer than the 4 others. That too is pretty vague. There are two long bonds. You need to show why they are long (because an antiperiplanar lone pair is aligned with the C-O bond, weakening it). Much more analysis needed here.

Epoxidation

You quote 9 for the NMR But there at lots and lots of reported values. Did the one you picked agree best? Need to be objective here! Did you try to compute any couplings? Compare them to the lit as well? A good analysis of the NMR, although you could present the results more attractively in the form of bar charts showing the errors (as is done in the literature).

Also lots of lit values for the rotations, again you quote only the (best agreeing?) one!

For dihydronaphthalene, I am surprised at your low calc value. The results do tend to come out in good agreement with lit, so that is a mystery which needs futher investigations. More worrying is that you predict it -ve rotation for (3S,4R), but the lit gets it positive, and vice versa for 3R,4S. The origins of this major discrepancy really should have been tracked down. Not at all sure what you meant by it is important to note that the calculated values here differ only in sign, as expected from the theory.. Is this a recognition of a problem or not?

NCI and QTAIM

major beneficial NCI is between the π-systems on the Styrene phenyl group and one of the phenyl groups Good!

TS energies

Missing?

Suggestion for new alkene

Missing

Overall, pretty good in places, but patchy in others.