Will I be able to leverage being military, having a pretty good debt to income ratio, and everything else they would look for to compensate for not having a many credit lines and long history?

They need a roof over their heads, and the extra cash is to compensate for that.

Be sure to be compensated for the lost rent as you can identify that it wasn't your fault. 

Would be more than happy to compensate you.

The individual is unable to pay the full rent or make a full housing paymentdue to substantial loss of household income, loss of compensable hours ofwork or wages, a lay-off, or extraordinary out-of-pocket medical expenses;4.

The company I worked for became a victim of the COVID-19 economy on May 31. 

Internal Revenue Service, or received an Economic Impact Payment (stimulus check) pursuant to Section 2201 of the CARES Act;I am unable to pay my full rent or make a full housing payment due to substantial loss of household income, loss of compensable hours of work or wages, lay-offs, or extraordinary [38] out-of-pocket medical expenses;I am using best efforts to make timely partial payments that are as close to the full payment as the individual's circumstances may permit, taking into account other nondiscretionary expenses;If evicted I would likely become homeless, need to move into a homeless shelter, or need to move into a new residence shared by other people who live in close quarters because I have no other available housing options.[39]I understand that I must still pay rent or make a housing payment, and comply with other obligations that I may have under my tenancy, lease agreement, or similar contract.

There are still options when it comes to getting exceptions using compensating factors and underwriters discretion. 

You may also be dealing with a broker/lender who has a high broker fee/loan officer compensation plan. 

Also, evictions are postponed only if victims are directly affected by coronavirus and can prove it I'm not sure if rent increases are included in this.You were lucky to find a 4-unit with mtm tenants most people deliver with long term tenants that are freshly signed leases making it hard for fha or other owner occupied loans...