For example if I have a door with a chunk bitten off by the previous tenant's dog. or if I have some roach infestation, or if I have the toilet pulled to snake a clog...things that makes the applicant think "what kind of a tenant and dog were here? 

Not to get all folksy, but if you're just learning to swim, it's better to spend ample time in the shallows perfecting your strokes before diving into the shark-infested sea.

Tenants are extremely hard on appliances, it is not uncommon.Landlord Responsibilities: Landlord will at all times during the tenancy keep the premises fit for human habitation, and shall in particular:a.Cultivate, care for and mow surrounding grass, lawn, flowers, and shrubberyb.Maintain the premises to substantially comply with any applicable code, statue, ordinance, or regulation governing the premisec.Maintain the roof, floors, walls, foundations, and all other structural components in reasonable good repair as to be usable and capable of resisting normal loadsd.Keep any shared or common areas reasonable clean, sanitary, and safe from defects increasing the hazards of fire or accidente.Provide a reasonable program for the control of infestation by insects, rodents, and other pests at move in f.Except where the condition is attributable to normal wear and tear, make repairs and arrangements necessary to put and keep the premises in as good condition as at move ing.Provide reasonably adequate locks and provide keys to the tenanth.Maintain all electrical, plumbing (main lines), heating, and other facilities and appliances supplied by Landlord in reasonably good working orderi.Maintain the unit in reasonably weather tight conditionj.Provide facilities adequate to supply heat and water and hot water as reasonably required by the tenant

See below, the contract reads  "  ... by one or more licensed or certified inspection services: home, radon, environmental, lead-base paint, lead-based paint hazard or wood-destroying insect infestation." 

Yes the tree is infested and compromised.  

Signs of infestation in one area doesn't mean the infestation is in every area, but it doesn't mean it isn't either. 

Mold inside the walls has been removed and the house was treated for cockroach infestations at their worst in areas that have been made wet from leaks.

Condition: Roof leaks in a couple of places, floor around the commode in the master bath is week and sinking, Central HVAC system does not work, mold infestation as a result of the recent SC flood, and the house is full of junk as the seller was a hoarder. 

I did not bother going after the property management office, but if your infestation is not treated properly your new tenants may go after you.

Here in Texas the seller is required to disclose any KNOWN material issues that may influence the buyer's decision.If the buyer walked away because the inspection discovered an infestation of termites, that would be a material issue which should be disclosed to future buyers.