Although a warning has been issued about a small risk of GBS and the Janssen COVID vaccine, it was based on VAERS reports and a causal relationship has not been proven.
Vaccine Safety Datalink
Another report has found that the COVID-19 vaccines are indeed safe.
In general, folks can expect more side effects after the second dose of their COVID-19 vaccine.
The initial clinical trials that were used to get the COVID-19 vaccines approved did show they were safe and effective, you can be assured that there are many safety and monitoring systems in place that will continue to monitor folks for adverse effects.