Sorry for the delay, I was waiting for someone who lives closer to you to pipe up!
anyway, while it is difficult to know just how you will be using your TI, I will make a few guesses/assumptions.
In order to limit the impact on weather reducing your sailing days, I wold recommend hat you spring for drysuits. This will increase the number of days where the weather is good for taking the TI out.
Depending on your plans regarding venturing far from shore, please don't skimp on safety gear
Good lifejackets (I use a manually inflated 150N "horseshoe" at all times)
at least 25 yards of anchor line
VHF handheld radio (ideally with GPS)
red & smoke flares (2 of each)
first aid kit
Spare rudder pins
Spray skirts (http://www.kayakingbob.com
Leashes for everything<
No doubt I have forgotten lots, and I personally also carry:
a personal locator beacon (PLB) with inbuilt GPS
Lowrance Elite 4DSI fishfinder/chartplotter with charts on microSD
Removable masthead light
Removable masthead wind indicator (well worthwhile knowing actually where the wind is coming from!)
There are many other items which can be useful. I am not trying to put you off, but the idea is to able to fend for yourself while away from shore. The list required if you are just going to be tooling around a small lake would be a lot less.
Food for thought anyway...