I would build a stud wall and get rid of the recessed niche. Once done you will have plenty of support in securing the TV mount. 

SIDING CONTRACTOR

The only leverage you might have now since they are deneying it and already have their money is to start placing bad reviews of them online. 

Top review sites are Google, BBB, Yelp, Houzz and Facebook.  Also Angie's List and Home Advisor are good if they are on these platforms? 

Give them one last chance to correct the problem along with a list these review platforms that you WILL be posting bad reviews on if it is not resolved within a stated timeline.  If they are smart then they should resolve the problem.  

If not, then place the bad reviews and send them a list of website links of each of the bad reviews.  Let them know that once they resolve the problem then you will take all the bad reviews off.  

Not much else you can do except go legal and this does not seem to warrant that?

Best to You

This would typically be work done by your Roofing Contractor.

Everything the rest said above but, in regards to the warranty: 

Check with your Secretary of State and see how long they have been in business.  If they are giving you a 10 year warranty, but have only been around for 6 months, then who cares?  They won't be around long enough for you to have a warranty issue.  

On the other hand, if the one around for 2 years has been around for 10 years, then they probably know that no one calls them for legitimate warranty issues 10 years later, and simply cuts it short so that they aren't called back to fix work that they didn't do.  

hardie board has a 30 year warranty, why are you covering it?

Adding the stylish furniture in home can be very effective in increasing the home vlaue. 

Who is the builder sub-contracting the work to? THere are companies that do nothing but gutters. THere are also siding companies who handle the gutters. 

What they said! Typically gutter installtion is its own trade.

I agree, no less than 4/12 but the sheathing must be layered 100% with Ice & Water memebrane first.

The minimum pitch for an asphalt roof for Asphalt shingles is 2/12 or more as long as you use at least one layer of ice and water shield and one layer of synthethic felt under the architectural shingles.  I would never use a three tab shingle on this low pitch roof.   Below 2/12 pitch, I would use either an EDPM Membrane or the Resisto 2 0r 3 ply roll roofing membrane system.

If you are asking about how to repair the roof damage, then I would like to suggest you to go for insurance claim process if you are already done with an insurance of roof damage. Because the plumber will cost you more, so you take some helpful hints from the Public adjusters about how to get the maximum claim amount on the Roof damage.

The new ridge vent should have the bug/snow/rain barrier integrated into the venting system. There are probably many other areas in the attic into which "bugs" could enter, but attics do not typically make the best habitats since the temperatures can be extreme and there is no "relatively nearby" source of water for them to survive. The "integrated mesh" is more for helping to prevent wind blown rain and snow from entering the attic space and settling on whatevr lies below.

I agree with the first two comments, very good advice.

Here's some other things you might to consider:

You want to make sure that are able to make an apples to apples comparison with each of the estimates you receive. If one estimate is more detailed for example, ask the other contractor if their estimate includes these details that their competitor is offering & will they be willing to include it in writing? 

Ask for 10 references instead of 3. The reason I say 10 is because this will give you a better sample size of the contractor's experience and track record. Anybody who has been in the business (especially siding which has many annual clients) should have no problem giving you 10 satisfied, recent clients. Granted you don't have to call all 10 but even the worst contractor can probably scrape together 1-2 "positive" references. 

Go to their website. This day and age they should have a website. This should have pictures of their siding projects to view. They should also list their certifications and which products their install. 

Go with your gut! If a deal seams too good to be true it probably is. After you do your due dilligence be honest with yourself and choose the contractor that you feel you can trust and will provide the best product. Don't just use price to make your decision.