Hi,
For your first question regarding what is required to show the property is held as tenants in common, please refer to guidance below which gives a list of the requirements.
TSEM9230 - Ownership and income tax: legal background: joint ownership - presumption of joint tenancy
For your second question, please refer to:
Work out your rental income when you let property
PIM1030 - Introduction: jointly owned property & partnerships
These which advise, if you own a property jointly with another person who is not your spouse or civil partner your share of the rental profits or losses will usually be based on the share of the property you own, unless you agree a different allocation. Unfortunately I cannot advise on personal situations, only provide the guidance for your interpretation. This forum is for queries of a general nature, please direct more complex queries to HMRC by calling or writing in.
For your third question please refer to the link below for the requirements of a declaration of trust, it would be up to yourself whether or not you consult a solicitor.
TSEM9520 - Ownership and income tax: express trusts - written declaration
Thank you.