Help with answers

<h2>Can anyone please help me with the following sentences to spot and correct the errors, if any?</h2>

<h2>[When] Hamlet suggested [to look] for Polonius in the lobby [just outside] his mother’s bedroom, he was behaving peculiarly, as if he [were] mad. [No error]</h2>

<p>Though many professional positions are filled [through personal referrals], some people are reluctant to network because they [feel uneasy] about [exploiting] their relationships [with others] for business purposes. [No error]</p>

<hr>

<p>If doctors could learn to read minds [as well as] they read x-rays and charts, it [would have been] unnecessary for [them] [to interview] patients in order to make proper diagnoses. [No error]</p>

<p>I think

  1. E.
  2. A.
  3. E.</p>

<p>i think in the first sentence ‘‘just’’ is wrong because i know it means ‘‘nothing more’’</p>

<p>in the third sentence, i believe there’s a problem with ''would have been" - I believe the correction is ''would be"</p>

<p>1.e
2.e
3.b
am I right?</p>

<p>I think we should say “suggested looking…” not “suggested to look”, right??</p>

<p>I think
1 Hamlet suggested look for
2 exploiting their relationships to others for business purposes
3 unnecessary for them to examine patients</p>

<ol>
<li><p>Hamlet suggested looking…Both gerunds and infinitives can be used as direct objects of a verb. Idiom favors one form over the other in the cases of some verbs and allows either form in the cases of other verbs. In the case of ‘suggested’, the gerund form is preferred. That said, I doubt that this would be tested on an actual SAT. I suspect this question came from Barron’s or some other commercial prep book. Also, ‘just outside’ in the sense of ‘immediately outside’ is fine. The difference is of tone and style, not grammatical correctness.</p></li>
<li><p>No error.</p></li>
<li><p>Would be. The sentence is written in present tense subjunctive mood. ‘Would have been’ is past subjunctive.</p></li>
</ol>