strikes if your audience is U.S., perhaps black marks would be more universal...

Black Entertainers and Unfair Contracts
Because Donnie is Black and poor he has many strikes against him. It is most
likely that he has had inferior education compared to whites because poor ...
academic.udayton.edu/race/04needs/98johnso.htm - 90k - Cached - Similar pages

NeverwinterConnections.com
Illiterate, ugly, battle scarred and a Sagitarius, he has many strikes against him.
He is also suspicious of all magic and magic items. ...
www.neverwinterconnections.com/index.cfm/ fuseaction/viewcharacter/id/45906/sid/20512.htm - 31k - Cached - Similar pages

Brattleboro Reformer - Editorials
... pay taxes on her behalf. But he has many strikes against him and more seem
to be more lurking out there. The nanny imbroglio might ...
www.reformer.com/Stories/ 0,1413,102~8854~2601055,00.html - 35k - Supplemental Result - Cached - Similar pages

Outsider Domination :: View topic - Please remember to vote 11/2 ...
... He has many strikes against him in my opinion. Maybe Kerry isn't the best,
maybe he is but I can not literrally afford another 4 years. ...
www.outsiderdomination.org/forums/viewtopic. php?t=2661&sid=711ec7dc4332dba642b1c6c6adf1a3e4 - 72k - Supplemental Result - Cached - Similar pages

KFFL Community - Where are all the Sherman haters?
... The Playoff collapses of the previous years, his dealing with McKenzie, the defense,
Donatell...not firing Rossley already. He has many strikes against him. ...
www.mrfootball.com/forums/showthread.php?p=1346744 - 101k - Supplemental Result - Cached - Similar pages

"argumentos" es sinónimo de razones

Objections might be a good choice for a fairly informal text. It gives the idea of people assessing him and finding him wanting in certain respects. It also fits well with 'en su contra' as you can have objections 'against him'.

Complaints might be an alternative to consider. It also fits in well with the idea of people considering him and reasoning about him suggested by 'argumentos' but goes further, almost suggesting that people have verbalised their objections. This might not be the case in your text.

You may finally want to consider 'grievances' - more serious than complaints, but not accommodating 'against him' so well since one has grievances about something rather than against something.

Hope this offers help!

yo lo traduciría así

HometownAnnapolis.com, Teen Pulse - Glen Burnie Senior High School
There are several points against the introduction of school uniforms as proposed by Lynne A. Isaacson's article "Student Dress Codes" in the ERIC Digest ...
www.hometownannapolis.com/teen_glenburnie.html

XML in HTML Meeting Report
There were several points against this, including the large number of non-standard EMPTY elements that already exist. Many participants thought that ...
www.w3.org/TR/1998/NOTE-xh-19980511

SIXTH HARVARD UNIVESITY FORUM ON ISLAMIC FINANCE: CURRENT LEGAL ...
Nizam Yaqubi who is a Shari’a scholar disagreed with Walid and raised several points against his conclusions. With respect to the point of conflict of ...
www.hifip.harvard.edu/MoreInfo.asp?news_id=46

The Daily Princetonian - GICC focuses on risk reduction in face of ...
Drakeman presented several points against a freshman ban in her report. She explained that enforcement would be difficult because many upperclassmen have ...
www.dailyprincetonian.com/archives/2001/10/09/news/3529.sht...

SGA Cutting Back? - The Exponent - News
Brown brought up several points against the bill, including the fact that quorum, which has been a lingering problem for the legislature since summer 2002, ...
www.uahexponent.com/news/2003/02/27/News/Sga-Cutting.Back-3...

Hope it helps!

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Note added at 10 hrs 9 mins (2005-09-02 22:49:52 GMT)
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"...there are several points against him/her..."