I suggest hachoir-wx to have a look at these files. How to install a Python package or you can try ActivePython with PyPM when using Windows. When you have the necessary hachoir packages installed, you can do something like this to run the GUI:
python C:\Python27\Scripts\hachoir-wx
It enables you to browse through the data fields of RAR and ZIP files. See this screenshot for an example.
For RAR files, have a look at the technote.txt file that is in the WinRAR installation directory. This gives detailed information of the RAR specification. You will probably be interested in these:
HEAD_FLAGS Bit flags: 2 bytes
0x10 - information from previous files is used (solid flag)
bits 7 6 5 (for RAR 2.0 and later)
0 0 0 - dictionary size 64 KB
0 0 1 - dictionary size 128 KB
0 1 0 - dictionary size 256 KB
0 1 1 - dictionary size 512 KB
1 0 0 - dictionary size 1024 KB
1 0 1 - dictionary size 2048 KB
1 1 0 - dictionary size 4096 KB
1 1 1 - file is directory
Dictionary size can be found in the WinRAR GUI too.
METHOD Packing method 1 byte
0x30 - storing
0x31 - fastest compression
0x32 - fast compression
0x33 - normal compression
0x34 - good compression
0x35 - best compression
And Wikipedia also knows this:
The RAR compression utility is proprietary, with a closed algorithm. RAR is owned by Alexander L. Roshal, the elder brother of Eugene Roshal. Version 3 of RAR is based on Lempel-Ziv (LZSS) and prediction by partial matching (PPM) compression, specifically the PPMd implementation of PPMII by Dmitry Shkarin.
For ZIP files I would start by having a look at the specifications and the ZIP Wikipedia page. These are probably interesting:
general purpose bit flag: (2 bytes)
compression method: (2 bytes)