The fibrous matter in the outer flesh of your tomatoes might be due to stink bugs feeding on the fruit. I fight them every year.
My big problem with tomatoes plants is fungus that starts on the lower leaves and moves up the plant. If I don’t use fungicide it kills the plants. I have tried every option from location rotation to not using mulch, to newspaper mulch and the black plastic. Nothing stops the fungus and the spores are everywhere.
***Nothing stops the fungus and the spores are everywhere.***
I bought a pump sprayer for foliar spraying of bonnie plant food, and also for a milk/baking soda mixture to spray for fungus. More info here:
http://homeguides.sfgate.com/baking-soda-spray-tomatoes-71626.html
I really like the sfgatehomeguide gardening stuff, btw.