Well you do not even know basic history.
A part of Dacia was under Roman Empire,but only for 125 years.
A much larger of Dacia was under Goths,Ostrogoths etc for a longer period,but Romanian barely has any borrowings from East Germanic languages.
How this can be explained?
And 2nd ,as number of words common with other languages,in Romanian,are Slavic languages,especially Bulgarian.
At least 20% of the words from Romanian are common with some Slavic language.
But it seems that if you also take Old Slavic and common words with South Slavic dialects,like Macedonian,is even more.
Romanian also have some cognates with Albanian,that are not common with Latin or Slavic,about 300 or towards 500 words.
Now coming back to the Roman conquest of Dacia,areas like Moldavia were never conquered by Roman Empire,however,those people are speaking Romanian with a little different accent.
And they (Moldovans,not matter if they are from Bessarabia or from Moldavia from Romania) have a lot of I2A and 2nd R1A1.And most are wide faced,which is common with Eastern Slavs and Baltids,not with any Balkanic people,for your info.
http://en.wikipedia.org/wiki/File:Roman_province_of_Dacia_(106_-_271_AD).svg
As you can see the people inhabiting that area,during Roman Empire conquest,are still called Daci,Carpi (which was a Dacian tribe),Sarmatae (which were Iranic people,or proto-Slavic people,or mixture of both,anyway,Satem speakers,most blue eyed and light haired) and Bastarnae.
Bastarnae are not known what they are,if they were Celtic or Scytho-Sarmatian people.
Not to mention Romanian sonority is quite unique in Europe,sharing some letters/sounds with Eastern Slavs,which are not present in any other language from Europe and have plenty of other harsh sounds as Z,J etc which were not found in Latin and are not found in any Romance language either.
(except French,but this is not really Romance,more like Gallo-Romance).
So is clear that Romanian have plenty of words common with Romance languages,not only Italian but also lots with French,but how does this makes these words borrowed from Latin?
I do not understand why this theory,which says,Spanish,French,Portuguesse,are coming from Latin?
I think this theory (even if very supported) have same logic as saying that Swedish/Norwegian/Danish,English,Dutch etc all are coming from German.
I think is much more logic to suppose it existed a proto-Romance language from which Latin,Italian,Romanian,Spanish etc split.
And would be quite logical that Illyrians were speaking some kind of proto-Romance,since they were living very closed to Italy.