Hi One blood sample will cover TSH, T4 and Free T3, but from what you say ,sounds doubtful the GP has tested for them all otherwise it is worth getting them on line, Then showing a doc fro treatment.When ever having blood done, ask exactly what is being tested by Phlebotomist, nurse or doc, when drawing the blood. They then have to tell you by law. Then after tests back, most allow 48 hours , then ask the receptionist for a copy of all the tests with the ranges. All ranges different.
Dizziness is so many things, it can be nothing or some thing. usually if checked out, you may not still find the cause. Your diastolic ( lower reading on BP) does sound a litle on the high side, this may cause dizziness. I would keep an eye on that. Nothing to worry about without more symptoms. It is certainly worth asking for U`s and E`s, kidney function, as that could be related.Drink plenty of water. It can even be Meniere`s, autoimmune, horrible. However, at this stage, nothing to really worry about, could even be after effects of the infection you had. It should be out of your system now, from your results that you have mentioned.
Thyroid I would get the right tests and then if nothing shows, wait and see.
Have a look at all the thyroid symptoms on the main TUK site, and see if you think this applies to you.