The reversed Seven of Pentacles card suggests that your best friend Luke may be in a bad physical state. This means that he may have health problems or tiredness and he will not be able to give you the chance you want.
The Ten of Pentacles card indicates that your best friend Luke has some strong emotions associated with the situation. He may feel responsible for what happened and he may not be able to deal with the situation calmly.
The reversed Two of Swords card suggests that your best friend Luca is probably not in a good spiritual state. He might feel lost and hopeless, and that would make it even more difficult for him to deal with the situation.
From the analysis of the tarot it seems that your best friend Luca is not in a good physical, emotional and spiritual state. So, considering all of that, the answer to your question should be: No, you shouldn't give him a second chance. The reason is that Luca may not be able to adequately handle the situation due to his current physical, emotional and spiritual state.