my glands in my neck were swollen for about 5 years after i had glandular fever until i started taking thyroxine, so in my experience my swollen glands were due to my hypothyroidism, and they stopped swelling with treatment. (although my glands still get sore if i get sick). dont know a lot about TSH, apparently it is different for everyone, but when my tsh was near 2 i felt really really awful (hypo), depressed, not hungry etc etc... but when it was 1.4 i felt fine!
There is no one right answer and the range will depend on age, other health issues, pregnancy, thyroid cancer status among other things. In general 0.5-2.5 range is used. There is research that suggests moving a TSH from 2.5-3.5 range to 0.5-1.0 range does not make any significant difference in symptoms. But in general a TSH of around 1.0 is a goal for an otherwise healthy young person. Avoid low TSH levels of <0.3 or so.