Hi It is very possible that your tomatoes have fusarium and verticillium wilt even if they are listed as being VFN resistant.
One of the major causes is planting the tomatoes in the same spot year after year.
You should rotate they area where they are planted each year to keep this from happening.

To tell for certain if your plants have either one of the diseases, take a vine and make a diagonal cut, (the longer the bias the better) then look for discolorations inside the vine. It usually shows up as a darkened area. This disease is basically the same thing as hardening of the arteries in a human. You can treat it with a fungicide, this will help slow the spread of the disease down, but it will not cure it.

If you have only a small gardening area and crop rotation is not possible try growing them in raised beds,planters, or pots, using fresh potting soil each year.

Hope this helps

Mike

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Mike Maier
aka
The Plant Doc

Oops....I meant to say the stem wasn't discoloured.
Thanx again!!!
Christina

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Judging by the photo's I am pretty sure you have verticillium wilt.
A lot of the time the discoloration inside the stem will not show beyond a foot up from the ground. The one stem with the lesions looks rather badley infected, and my guess is if yu were to cut into that youwould see the discoloration
I would prune off the badly effected areas, and plant on rotating your crop next year.

If the disease is bad it may spread to the fruit before it ripens. If this happens let the fruit grow as big as you dare on the vine, then take it off the vine and let it ripen on a sunny window sill.

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Mike Maier
aka
The Plant Doc

The fungus is soil borne. So it really isn't going to help if you dig them up. I would back The Plant Doc's recommendation & Raise the bed with top soil or in planter's. I called Mike( the Plant Doc) to make sure of this.