I am going to show my pessimism here and make a few observations.
In either scenario, our modern day innoculated heroes may or may not be ravaged my some strange and never before seen epidemic, but regardless, they are still carriers of many viruses and parasites that may very well reduce local flora and fauna alike to compost before they can even think about restarting society.
In keeping with the spirit of pessimism, I’ll add some cynicism and offer that a large group of intelligent people such as this one of engineers and architects and mechanics and whomever else might be included, would quickly de-evolve into a Lord of the Flies-ian society.
Assuming that this group did not dissolve into mush from disease, or die off after reducing everything else to mush, and were able to come up with a system of leadership that was agreed upon and obeyed…it would be a simple matter of prioritizing the communities needs and acting on them.
The basics of human survival are food, water and shelter. Everything else is a luxury and would have to be put off until the basics were secured.
With some basic tools and cooperation, these basics could be procured relatively easily. Farming, though a commercial art now is, in premise, a very simple concept and would not be difficult with some forethought and elbow grease. The same goes for fishing, herding, food and water gathering, and house building.
From there, it would all depend upon how this little society wanted to go about developing what. If they wanted an exact replica of modern day earth technologies, complete with it’s downsides, they have the tremendous advantage of knowing how it works and how it was originally arrived at and could skip over many steps. As for the mining of ores and such, that could be arrived at within a matter of years.
The only problem arriving at such quick development as such would be the population. Several thousand people is not alot to go around, and depending on how many are children or otherwise incapable of manual labor, it could take alot longer. Generations even.
Assuming they are all fully capable, healthy adults, I could see no reason that they would not be back to a modern day equivalent Earth within 50 years.
Should they decide that modern day technology stinks and want to go about things differently, they’d have to start over on alot of things, but would still hold the huge advantage of prior knowledge, so even that would not take very long at all.