1 . Solvent cement for polystyrene .
Tamiya is great , you can hold the parts together and brush the joint with the cement and it will flow into the joint via capillary action .
https://www.scalehobbyist.com/catagories/Paint_and_Construction/extra-thin-cement-quick-setting/TAM00087182/product.php?s=4&t=2&u=0
2. I'm assuming you are describing the applicator for CA ( super glue ) or other low viscosity glues.
It holds a small amount of the adhesive via surface tension .
https://www.scalehobbyist.com/catagories/Paint_and_Construction/glue-looper-micro-glue-applicator-v2/CVD00000101/product.php?s=4&t=0&u=8
3. Everyone has their preferred putty ,
I like the Tamiya plastic putty : https://www.scalehobbyist.com/catagories/Paint_and_Construction/tamiya-putty-white/TAM00087095/product.php?s=4&t=2&u=1
4. Blue Tack , but there are other similar products : https://www.amazon.com/s?k=blue+tack&ref=nb_sb_noss_1
5 Micro Sol and Micro set ,, Tamiya and AK make a similar product : https://www.scalehobbyist.com/catagories/Paint_and_Construction/microset-setting-solution/MIC00000001/product.php?kw=micro,sol
6 Nothing wrong with the blue tape or other quality masking tape .
Tamiya tape , available in many widths ( art supply stores will also have a wide selection ) : https://www.scalehobbyist.com/catagories/Paint_and_Construction/masking-tape-refill-6mm/TAM00087033/product.php?kw=tape
Hobby Lobby has everything above with maybe the exception of the loop applicator but they may very well carry it .