For ticks, I like light long pants treated with permethrin.
Lyme disease is a serious problem, worst in southern New England but getting worse further south. Also, treat sock tops and shirts.
Weather: If the weather in New England is like last summer, you'll be hypothermic with those clothes. Last summer in the Berkshires the low in June was 32F and lots of rain. Daytime temps in southern New England of 50 with rain were common all through June and July with some days not hitting 50. Going through the White Mountains you should be prepared for 32F, heavy rain and 60 mph winds simultaneously. I'd say at least one fleece jacket and warmer long johns until the White Mountains (and preferably a synthetic puffy jacket), warmer hat. For the White Mts., add another layer and mittens. For the White Mts. above tree line I'm very skeptical of a $2 poncho for above tree line; even a good poncho can be marginal if it's windy. I'd say rain parka and rain pants for the Whites. I'm not sure if your clothes are warm enough for the Smokies. You might get lucky with weather, but you can't count on it.
For example, July 4, 2009, Hi 46, lo 35, average wind 47 mph, peak gust 75 mph. The monthly weather is at: