Is there the SLIGHTEST chance that I may receive virus or malware by playing this and TiTs, or are they safe?
People already answered that this is safe, and it is.
But I want to say that your requirements are too high. You can never completely and utterly eliminate the chance of a virus. For example, one time some apple employees have embedded a virus in brand new ipods coming from apple owned factory. So when people plugged them in with a usb to add songs to them they got the virus. This is not an isolated incident, although such cases are relatively rare.
Then you have things like the fact that according to data released by snowden, the USA has been having secret agents infiltrate both international megacorps and open source organizations in order to sabotage international computer standards and security measures to ensure they can hack them.
Nothing on a computer is 100% beyond a shadow of a doubt safe. But you can get to pretty reasonably high security and trust.