The 1985 sectors of "first partition" are too similar to 2048 (default start for first partition under Vista and later) - 63 (default start for first partition under XP/2003 and earlier) to be a coincidence.
And anyway, set apart the crazy partitioning schemes jaclaz (and Wonko the Sane) sometimes use to workaround some stupid limitation of *something*, like here:
noone in his/her right mind would make a partition around 1 Mb in size, and Windows tools default anyway to one whole cylinder (around 8 Mb) as minimum size.
That "first" partition is most probably an artifact, and should be all 00's.
There is also no real reason why you shouldn't be able to access/browse the last one (the [HP_TOOLS] one.
The whole disk should be (the accessible/partitioned space, there may well be some "slack" at the end of it):
63+1985+407552+596682752+28048048=625,140,400 sectors, which seems "just right" for a 320 Gb disk, as 625,140,400*512=320,071,884,800
The 407,552*512=208,666,624 is the "normal" 200 Mb partition that Windows 7 uses as "boot" (called aptly "system" by MS) and should contain just the BOOTMGR+\boot\ folder.
The 59,6682,752*512=305,501,569,024 is the "normal" main partition for Windows 7, the "system" partition (called aptly "boot" by MS) and actually the only partition that the final user should normally be able to use, the one that gets the C:\ drive letter, around 300 Gb in size.
The 28,048,048*512=14,360,600,576 is the around 14 Gb partition that should contain (as the label suggests) the HP_TOOLS, including the OEM recovery image.
This partition has normally no drive letter associated, but you don't really-really need a "big" disk to image that, a 16 Gb USB stick would do.
What do you mean by "I can browse content of 2 and 3"?
Can you assign a drive letter to this last volume?
What is the output of mountvol?
Consider that since this volume is filled "in factory" and never touched afterwards it is likely to be not fragmented, so, even if - for any reason - the FAT tables are corrupted, the files in it can be recovered by direct carving.
The issue here may be if the *whatever*, as Agent47 suggested possibly the "final user", see also:
that messed with dynamic disks also botched the MBR code it may be difficult (or impossible) to recreate it (this depends on the specific way the HP guys set up the "recovery partition", old models used PCAngel and it was a PITA to recreate a valid one making use of F11):
whilst more recent models may be using the default Windows RE mechanism
This is the old referenced page about Windows 7 HP recovery partition:
and this is current one:
If you can image the whole disk "as is", it would make sense to attempt doing a Recovery or have the HP tool attempt to repair the recovery partition from the booted 7.