New answers tagged clothing
Shemirat Shabbat KeHilchatah (3rd edition (5770), 18:25) permits (for those who are generally lenient about carrying jewelry) a man to wear a "handkerchief exclusively designated for adornment in the upper pocket" (my translation) in a public domain. Sounds like your case.
EDIT: My initial reading of the shulchan aruch was wrong. According to the cited sources, a cape such as described in the question (a typical superhero cape), would not require tzitzit as it only has two corners at the bottom According to the shulchan aruch (O.C. 10:7 and 10:8) a cape as you have described (open up front, and usualy tied up top) would ...
Rav Avigdor Nebenzahl Shlit"a told me that he forbids buying Swiss products which feature the cross symbol lechatchila, however once it was bought he requires that the cross to be either covered, scratched out or removed completely.
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