Welcome to the forum, Katia, and to "Luger University," as this particular collecting mania is often called.
A low serial number isn't particularly important for a military Luger because they were manufactured in blocks of 10,000, and after each block the numerical sequence started over. If there's a cursive letter stamped below the number on the front of the frame under the barrel, it's a part of the serial number as well.
The top part of the New Collectors' section has "stickies" that are very informative, and among them is the FAQ .pdf document I recommend downloading for study.
We'd also like to see some good pics of what you've inherited. I think there's a sticky explaining what should be included, and another one explaining how to get the best photographic results.
Your unit marking on the front grip strap will probably be more straightforward to solve. Although I'm not one, there are other members who are very knowledgeable about this aspect of Lugers.
You've come to the right place for info and guidance because several here are world class authors on the subject, in addition to probably centuries of cumulative Luger experience.
Enjoy!
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"... Liberty is the seed and soil, the air and light, the dew and rain of progress, love and joy."-- Robert Greene Ingersoll 1894
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