If I read all these messages, then you are miles away (years away) from beeing able to archive this material.
SAP is checking stocks in current period, previous period and previous year. Use SE16 to check this in table MARD, MBEW and many other stock tables.
In short this just means, if you have had stock for this material in 2014, then you are able to archive it in 2016, because the 2014 stock is the previous year stock when we are in 2015, and all fields will show 0 when we are in 2016.
the long text to error W4007 is much too optimistic and gives a wrong impression.
Reservations are stored in table RESB. Entries from table RESB are archived with other objects like PM_ORDER, PP_ORDER etc. (check it yourself in transaction DB15)
This again just tells me that you have not archived any dependent data.
talking about the other messages is just academic because they may not even arise if you have done the expected archiving of the other objects. eg. W4031 could vanish if you archived your costing data with CO_COPC.
and W4134 may just be there because of above messages.