Can I file a 1041 and a 1310 for my husband's estate on Turbotax. Does the Assisted cost cover advice on this?

To prepare a 1041 return, you need to buy Turbo Tax Business Desktop program, not to be confused with the personal Home & Business version. Home & Business is just for personal returns that need schedule C for self employment. TT Business is not available to do online or on a Mac. You can buy the Windows Desktop program here.  I don't know if you can get Assisted for 1041 returns.  
https://turbotax.intuit.com/small-business-taxes/cd-download

Window System Requirements
https://ttlc.intuit.com/community/system-requirements/help/minimum-system-requirements-for-turbotax-windows-software/00/26175

No. The assist mentions only businesses in all of the information. You can use TurboTax Business online or you can download it, TurboTax Download for Business.

The IRS has a quick  How Do I File a Deceased Person interactive assistant. It is very detailed and may give you additional information. 

Reference IRS help:

• Tax Topic 356 - Decedents
• Publication 559, Survivors, Executors, and Administrators
• How to file a final tax return for someone who has passed