Yes I agree using waterproof wire nuts is a plus, or requirement depending upon the installed area and configuration. Local Electrical codes and/or ordinances may require using them. Stopping by a local electrical distributor like Grainger's, not big box HD,Lowes,etc., and inquire. All installations should meet National Electrical Code requirements at the time of installation, while others required above and beyond NEC depending upon the specific installation. There still are installations out there that did not adhere to NEC requirements at their time of install.
I would only use no-oxide pastes/oils designed for electrical applications that have UL approval. Others may have flammability concerns or may not be compatible with the homes electrical wiring and or components, Ex. like vinyl electrical tape.
I try to err on the side of caution. Electricity is our deadly friend. Some shortcuts can come back to bite You, "literally"{electrically}. If a need arises to hire a professional afterwards, they may be required to replace more than just the socket, or refuse the job.
No task or service is so urgent that You can not take the time You need to perform the job safely. Please be safe.
GL