Langeveldt,
Back in 2007 after getting my PPL I had a similar problem.
I didn't have my logbook stolen, however I did leave it in the backseat of a taxi. I had to do the same thing, summarize my total time at the beginning of the new logbook and then start recording any new time.
I started making copies of my logbook and also purchased online logbook software. I recommend you checkout "safelog" from dauntless aviation.
Safelog FAA and EASA (CAA/JAA) Pilot Logbook Software and Online Pilot Logbook
Going forward just make sure you start a file and keep multiple certified copies of your flight time in case you loose your original logbook again for any reason (theft, accident, etc) and also make sure you keep all the receipts for any flight time your purchased from your flight training facility. I even keep receipts for every single aviation item I have ever purchased dating back to 2006 and I'm amazed to see how much money I've spent so far.
Now going back to your original question, I think that not having the first entries of your logbook won't be a major issue provided that you can supply the company with alternate documentation that will allow them to verify your training.
The airlines from my country COPA (international carrier) and AIRPANAMA (regional and international) ask for either the final page of your logbook or the last 2 pages of your logbook to be stamped.
Same thing goes for other airlines in LATAM. I'm attaching some links so you can see examples.
Example from Delta airlines:
Delta - Pilot Basics
Example from COPA airlines
First Officer jobs, Airlines Pilots, Requirements for First Officer
Examples from LANCOLOMBIA and LANCHILE, these ones you will have to translate into english (from spanish) using google translate:
LAN >> Pilotos-Primer Oficial
Requisitos de Ingreso - Pilotos - LAN.com
Hope this helps.
