based on the specs it looks like the Lowell Full Pole has a male 5/8" on top, so the 2nd adapter link in your original post won't work with the Lowell. if you need a 3/8" connector on top you might consider the Manfrotto equivalent (
http://www.bhphotovideo.com/c/product/546540-REG/manfrotto_099b_3_section_extension_pole_35_.html). the Manfrotto extends 12" more than the Lowell, is a couple dollars cheaper and you won't need an adapter (assuming that a 3/8" connector is what you need). if you need to expand the 3/8" male connector to 5/8" the 2nd adapter in your original post will work just fine. i use the Manfrotto and like it a lot.
option #1: if you don't already have a mic bar and need to buy one, they come in 3/8" and 5/8" versions. if you buy the bar and stand together you can match them up so you won't need an adapter.
option #2: if you already have a mic bar with a female 3/8" center hole and don't want to use an adapter get the Manfrotto.
option #3: if you already have a mic bar with a female 5/8" center hole and don't want to use an adapter get the Lowell.
option #4: if you can't decide, go with the Manfrotto. i think it's easier to use an adapter that will expand from 3/8" to 5/8" rather than use an adapter that will reduce from 5/8" to 3/8".