Each pair of definitions is for two words, where the second word is the first word with an extra letter added somewhere (example: band & brand). The length of the short word in each pair is provided.
1) military supplies & a municipal regulation (8 letters)
2) a sudden brief rush of wind & a patron of a hotel(4 letters)
3) to take great delight & to make known (5 letters)
4) a broad scarf that is looped under the chin & the symbolic figure of a team (5 letters)