Applications are a procedural issue - not a regulatory requirement. Reg B does require a written application for home purchase/refinance loans, but makes it clear that you can use anything you want and the burden is not on the borrower. Rather it's a lender responsibility. Check out the the following:
Regulation B does not… require that the applicant complete a written application. Rather, the responsibility rests with the lender. Even if the applicant does not fill out a written application, the lender can complete an application (form) on behalf of the applicant to comply with Regulation B. [FDIC FIL 35-96]
A creditor will satisfy the requirement by writing down the information that it normally considers in making a credit decision. The creditor may complete an application on behalf of an applicant and need not require the applicant to sign the application. [Commentary to §1002.4(c) #1]
A creditor that accepts applications by telephone for dwelling-related credit… can meet the requirement for written applications by writing down pertinent information that is provided by the applicant. [Commentary to §1002.4(c) #2]
Model application forms are provided in Appendix B to the regulation, although use of a printed form is not required. [Commentary to §1002.4(c) #1]
All of that is to explain that how your institutionalization wants applications completed and/or signed, is up to your organization.
HMDA & Reg B do prohibit you from requiring anyone to be liable, but there are exceptions for guaranties when an entity applies. Trusts are a little unique. They are so close to the consumer that most regulations (like Reg Z) offer Trusts the same protection as a consumer. However, many parts of HMDA say to treat a Trust like an entity. For instance:
Report
…the applicant’s or co-applicant’s ethnicity, race, and sex is not applicable when the applicant or co-applicant is not a natural person (for example, a corporation, partnership, or trust). [Appendix B to §1003 #7]
Do not report age
…if the applicant or co-applicant is not a natural person (for example, a corporation, partnership, or trust). [Commentary to §1003.4(a)(10)(ii) #4]
Income: Report …not applicable when the applicant or co-applicant is not a natural person (e.g., a corporation, partnership, or trust). [Commentary to §1003.4(a)(10)(iii) #7]
LaserPro should not be automatically considering the trustees as guarantors or as co-borrowers. I would contact LaserPro's attorneys about this and see if you have something set up wrong or why they do that.
And for a separate HELOC loan, we have an existing Borrower (a trust), wanting to increase their HELOC. Is "Notice of Right to Cancel" the only disclosure we need?
Yes, a new RofR is required. To say that this is all you need is a little simplistic and it depends on many factors.