Are there errors of time, place, or persons mentioned in your primary source?
Do the people, places, or organizations mentioned really exist?
Did this event happen on the day/time/place mentioned?
These are all questions you can ask and answer to fact check the reliability of the primary source you have found. The easiest way is to look for news reports from the time (major world newspapers like The Times (of London) and The New York Times will be reliable sources; remember to account for the time lag between the event's date and the time the news would have reached other countries). I've linked to these resources below.
Another source for fact checking is a reliable biography of the individual(s) involved. Search for the person's name with the keyword biography to locate one. What might be problematic about using an autobiography?
Provides indexing and full-text access to the Times (London) newspaper from its inception to 2019.
Provides searching and digital access to the New York Times newspaper from its beginnings in 1851 to three years short of the current year.
Reading for bias requires more than one reading. You'll read once to get the content, then again for facts, and then a third time for nuances. Nuances are the subtle cues often conveyed with body language when we are talking with one another, but in primary sources you need to look for other clues:
So read closely and more than once; see what the fact checking sources mentioned to the right might have to say about the person or event as clues to bias.